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Finding the Fourth Proportional to 213,288.66, 319,950 and 73,048.50

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Solution

The fourth proportional to 213,288.66, 319,950 and 73,048.50 is: 109,578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,288.66 : 319,950 = 73,048.50 : x
  2. Step 2: Convert to fraction form
    213,288.66/319,950 = 73,048.50/x
  3. Step 3: Cross multiply
    213,288.66x = 319,950 × 73,048.50
  4. Step 4: Simplify right side
    213,288.66x = 23,371,867,575
  5. Step 5: Solve for x
    x = 23,371,867,575/213,288.66
  6. Step 6: Final answer
    x = 109,578.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.